Basic Math Examples

30 = (x) (20)

$30 = (x) (20)$

Step 1

Rewrite the equation as

x (20) = 30

$x (20) = 30$ .

x (20) = 30

$x (20) = 30$

Step 2

Divide each term in

x (20) = 30

$x (20) = 30$ by

20

$20$ and simplify.

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Step 2.1

Divide each term in

x (20) = 30

$x (20) = 30$ by

20

$20$ .

\frac{x \cdot 20}{20} = \frac{30}{20}

$\frac{x \cdot 20}{20} = \frac{30}{20}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

20

$20$ .

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Step 2.2.1.1

Cancel the common factor.

\frac{x \cdot 20}{20} = \frac{30}{20}

$\frac{x \cdot 20}{20} = \frac{30}{20}$

Step 2.2.1.2

Divide

x

$x$ by

1

$1$ .

x = \frac{30}{20}

$x = \frac{30}{20}$

x = \frac{30}{20}

$x = \frac{30}{20}$

x = \frac{30}{20}

$x = \frac{30}{20}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of

30

$30$ and

20

$20$ .

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Step 2.3.1.1

Factor

10

$10$ out of

30

$30$ .

x = \frac{10 (3)}{20}

$x = \frac{10 (3)}{20}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor

10

$10$ out of

20

$20$ .

x = \frac{10 \cdot 3}{10 \cdot 2}

$x = \frac{10 \cdot 3}{10 \cdot 2}$

Step 2.3.1.2.2

Cancel the common factor.

x = \frac{10 \cdot 3}{10 \cdot 2}

$x = \frac{10 \cdot 3}{10 \cdot 2}$

Step 2.3.1.2.3

Rewrite the expression.

x = \frac{3}{2}

$x = \frac{3}{2}$

x = \frac{3}{2}

$x = \frac{3}{2}$

x = \frac{3}{2}

$x = \frac{3}{2}$

x = \frac{3}{2}

$x = \frac{3}{2}$

x = \frac{3}{2}

$x = \frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

x = \frac{3}{2}

$x = \frac{3}{2}$

Decimal Form:

x = 1.5

$x = 1.5$

Mixed Number Form:

x = 1 \frac{1}{2}

$x = 1 \frac{1}{2}$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$